E D Belokolos et al 2004 J. Phys. A: Math. Gen. 37 9685 doi:10.1088/0305-4470/37/41/007
E D Belokolos1, V Z Enolskii2 and M Salerno3
Show affiliationsWannier functions of the one-dimensional Schrödinger equation with an elliptic one-gap potential are explicitly constructed. Properties of these functions are analytically and numerically investigated. In particular, we derive an expression for the amplitude of the Wannier function in the origin, a power series expansion valid in the vicinity of the origin and an asymptotic expansion characterizing the decay of the Wannier function at large distances. Using these results, we construct an approximate analytical expression of the Wannier function, which is valid in the whole spatial domain and is in good agreement with numerical results.
71.15.-m Methods of electronic structure calculations
03.65.Ge Solutions of wave equations: bound states
Issue 41 (15 October 2004)
Received 16 June 2004
Published 29 September 2004
E D Belokolos et al 2004 J. Phys. A: Math. Gen. 37 9685
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